A zero-dissipative Runge-Kutta-Nystrom method with minimal phase-lag
An explicit Runge-Kutta-Nyström method is developed for solving second-order differential equations of the form where the solutions are oscillatory. The method has zero-dissipation with minimal phase-lag at a cost of three-function evaluations per step of integration. Numerical comparisons with RKN3...
| Main Authors: | Senu, Norazak, Suleiman, Mohamed, Ismail, Fudziah, Othman, Mohamed |
|---|---|
| Format: | Article |
| Published: |
Hindawi Publishing Corporation
2010
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/12898/ |
Similar Items
A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems
by: Senu, Norazak, et al.
Published: (2009)
by: Senu, Norazak, et al.
Published: (2009)
A zero-dissipative runge-kutta-nystrom method for oscillatory problems
by: Senu, Norazak, et al.
Published: (2009)
by: Senu, Norazak, et al.
Published: (2009)
A zero-dissipative phase-fitted fourth order diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems
by: Moo, Kwong Wing, et al.
Published: (2014)
by: Moo, Kwong Wing, et al.
Published: (2014)
A five-stage singly diagonally implicit Runge-Kutta-Nyström method with reduced phase-lag
by: Moo, Kwong Wing, et al.
Published: (2012)
by: Moo, Kwong Wing, et al.
Published: (2012)
An embedded 5(4) explicit Runge-Kutta-Nyström method with dissipation of high order
by: Mohamad, Munirah, et al.
Published: (2012)
by: Mohamad, Munirah, et al.
Published: (2012)
A new explicit Runge-Kutta-Nystrom method with reduced phase-Lag and FSAL technique.
by: Senu, Norazak, et al.
Published: (2012)
by: Senu, Norazak, et al.
Published: (2012)
A three-stage dispersion and dissipation of order infinity Runge-Kutta-Nyström method for periodic IVPs
by: Moo, Kwong Wing, et al.
Published: (2013)
by: Moo, Kwong Wing, et al.
Published: (2013)
An embedded explicit Runge-Kutta-Nystrom method for solving oscillatory problems
by: Senu, Norazak, et al.
Published: (2009)
by: Senu, Norazak, et al.
Published: (2009)
A fourth order phase-fitted Runge-Kutta-Nyström method for oscillatory problems
by: Moo, Kwong Wing, et al.
Published: (2012)
by: Moo, Kwong Wing, et al.
Published: (2012)
A new diagonally implicit Runge-Kutta-Nystrom method for periodic IVPs
by: Senu, Norazak, et al.
Published: (2010)
by: Senu, Norazak, et al.
Published: (2010)
A singly diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems.
by: Senu, Norazak, et al.
Published: (2011)
by: Senu, Norazak, et al.
Published: (2011)
A fifth order phase-fitted Runge-Kutta-Nyström method for periodic initial value problems
by: Mohamad, Munirah, et al.
Published: (2013)
by: Mohamad, Munirah, et al.
Published: (2013)
Runge-Kutta-Nystrom Methods For Solving Oscillatory Problems
by: Senu, Norazak
Published: (2010)
by: Senu, Norazak
Published: (2010)
Zero-dissipative explicit Runge-Kutta method for periodic initial value problems
by: Senu, Norazak, et al.
Published: (2014)
by: Senu, Norazak, et al.
Published: (2014)
New phase-fitted and amplification-fitted fourth-order and fifth-order Runge-Kutta-Nyström methods for oscillatory problems
by: Moo, Kwong Wing, et al.
Published: (2013)
by: Moo, Kwong Wing, et al.
Published: (2013)
Kaedah pasangan 4(3) Runge-Kutta-Nystrom untuk masalah nilai awal berkala
by: Senu, Norazak, et al.
Published: (2010)
by: Senu, Norazak, et al.
Published: (2010)
A 5(4) pair explicit Runge-Kutta-Nystrom method for solving oscillatory problems
by: Senu, Norazak, et al.
Published: (2009)
by: Senu, Norazak, et al.
Published: (2009)
Exponentially-fitted Runge-Kutta Nystrom method of order three for solving oscillatory problems
by: Rabiei, Faranak, et al.
Published: (2014)
by: Rabiei, Faranak, et al.
Published: (2014)
Fifth-order four-stage explicit trigonometrically-fitted Runge–Kutta–Nyström methods
by: Demba, Musa A., et al.
Published: (2016)
by: Demba, Musa A., et al.
Published: (2016)
Fifth order Runge-Kutta-Nyström methods for solving linear second order oscillatory problems
by: Salih, Mohammed M., et al.
Published: (2016)
by: Salih, Mohammed M., et al.
Published: (2016)
Construction of improved Runge-Kutta Nystrom method for solving second-order ordinary differential equations
by: Rabiei, Faranak, et al.
Published: (2012)
by: Rabiei, Faranak, et al.
Published: (2012)
A symplectic explicit trigonometrically-fitted Runge-Kutta-Nyström method for the numerical solution of periodic problems
by: Demba, Musa A., et al.
Published: (2016)
by: Demba, Musa A., et al.
Published: (2016)
Directly solving special second order delay differential equations using Runge-Kutta-Nystrom method
by: Mechee, Mohammed, et al.
Published: (2013)
by: Mechee, Mohammed, et al.
Published: (2013)
Third-order explicit two-step Runge-Kutta-Nyström method for solving second-order ordinary differential equations
by: Md Ariffin, Latifah, et al.
Published: (2013)
by: Md Ariffin, Latifah, et al.
Published: (2013)
A three-stage explicit two-step Runge-Kutta-Nyström method for solving second-order ordinary differential equations
by: Md Ariffin, Latifah, et al.
Published: (2012)
by: Md Ariffin, Latifah, et al.
Published: (2012)
A new fourth-order four stage explicit trigonometrically-fitted Runge–Kutta–Nyström method for solving periodic problems
by: Demba, Musa Ahmed, et al.
Published: (2016)
by: Demba, Musa Ahmed, et al.
Published: (2016)
New explicit trigonometrically-fitted fourth-order and fifth-order Runge-Kutta-Nyström methods for periodic initial value problems
by: Demba, Musa Ahmed, et al.
Published: (2016)
by: Demba, Musa Ahmed, et al.
Published: (2016)
A 4(3) pair Runge-Kutta-Nystršm method for periodic initial value problems
by: Norazak Senu,, et al.
Published: (2010)
by: Norazak Senu,, et al.
Published: (2010)
Digonally implicit Runge-Kutta Nystrom general method order five for solving second order IVPs
by: Ismail, Fudziah
Published: (2010)
by: Ismail, Fudziah
Published: (2010)
Embedded diagonally implicit Runge–Kutta–Nystrom 4(3) pair for solving special second-order IVPs
by: Al-Khasawneh, Raed Ali, et al.
Published: (2007)
by: Al-Khasawneh, Raed Ali, et al.
Published: (2007)
A new optimized Runge-Kutta method for solving oscillatory problems
by: Hussain, Kasim, et al.
Published: (2016)
by: Hussain, Kasim, et al.
Published: (2016)
Phase-fitted and amplification-fitted diagonally implicit Runge-Kutta method for the numerical solution of periodic problems
by: Ahmad, Nur Amirah, et al.
Published: (2016)
by: Ahmad, Nur Amirah, et al.
Published: (2016)
Diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ODEs
by: Ismail, Fudziah, et al.
Published: (2013)
by: Ismail, Fudziah, et al.
Published: (2013)
Embedded explicit two-step Runge-Kutta-Nystrom for solving special second-order IVPs
by: Ariffin, L. M., et al.
Published: (2014)
by: Ariffin, L. M., et al.
Published: (2014)
Explicit Runge-Kutta-Nyström methods with high order dispersion and dissipation for solving oscillatory second order ordinary differential equation
by: Mohamad, Munirah
Published: (2013)
by: Mohamad, Munirah
Published: (2013)
Phase fitted and amplification fitted of Runge-Kutta-Fehlberg method of order 4(5) for solving oscillatory problems
by: Salih, Mohammed M., et al.
Published: (2020)
by: Salih, Mohammed M., et al.
Published: (2020)
Numerical solution of second-order fuzzy differential equation using improved Runge-Kutta Nystrom method
by: Rabiei, Faranak, et al.
Published: (2013)
by: Rabiei, Faranak, et al.
Published: (2013)
Development of high-order adaptive multi-step Runge–Kutta–Nyström method for solving special second-order ODEs
by: Abdulsalam, Athraa, et al.
Published: (2024)
by: Abdulsalam, Athraa, et al.
Published: (2024)
Development of an efficient diagonally implicit Runge–Kutta–Nyström 5(4) pair for special second order IVPs
by: Ahmed Demba, Musa, et al.
Published: (2022)
by: Ahmed Demba, Musa, et al.
Published: (2022)
New phase-fitted and amplification-fitted modified Runge-Kutta method for solving oscillatory problems
by: Alshareeda, Firas Adel Fawzi, et al.
Published: (2016)
by: Alshareeda, Firas Adel Fawzi, et al.
Published: (2016)
Similar Items
-
A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems
by: Senu, Norazak, et al.
Published: (2009) -
A zero-dissipative runge-kutta-nystrom method for oscillatory problems
by: Senu, Norazak, et al.
Published: (2009) -
A zero-dissipative phase-fitted fourth order diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems
by: Moo, Kwong Wing, et al.
Published: (2014) -
A five-stage singly diagonally implicit Runge-Kutta-Nyström method with reduced phase-lag
by: Moo, Kwong Wing, et al.
Published: (2012) -
An embedded 5(4) explicit Runge-Kutta-Nyström method with dissipation of high order
by: Mohamad, Munirah, et al.
Published: (2012)